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Finding the Fourth Proportional to 349.77, 524.60 and 263.20

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Solution

The fourth proportional to 349.77, 524.60 and 263.20 is: 394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.77 : 524.60 = 263.20 : x
  2. Step 2: Convert to fraction form
    349.77/524.60 = 263.20/x
  3. Step 3: Cross multiply
    349.77x = 524.60 × 263.20
  4. Step 4: Simplify right side
    349.77x = 138,074.72
  5. Step 5: Solve for x
    x = 138,074.72/349.77
  6. Step 6: Final answer
    x = 394.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.